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14082148520 = 2351171835431
BaseRepresentation
bin11010001110101110…
…01000100010101000
31100100102001021011022
431013113020202220
5212320012223040
610245205152012
71005653200406
oct150727104250
940312037138
1014082148520
115a77007680
1228900bb608
13143564217b
1497837c476
1557645d6b5
hex3475c88a8

14082148520 has 128 divisors (see below), whose sum is σ = 35480954880. Its totient is φ = 4986912000.

The previous prime is 14082148501. The next prime is 14082148523. The reversal of 14082148520 is 2584128041.

It is not an unprimeable number, because it can be changed into a prime (14082148523) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2590205 + ... + 2595635.

It is an arithmetic number, because the mean of its divisors is an integer number (277194960).

Almost surely, 214082148520 is an apocalyptic number.

14082148520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14082148520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17740477440).

14082148520 is an abundant number, since it is smaller than the sum of its proper divisors (21398806360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14082148520 is a wasteful number, since it uses less digits than its factorization.

14082148520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5607 (or 5603 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 35.

The spelling of 14082148520 in words is "fourteen billion, eighty-two million, one hundred forty-eight thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 71 83 88 110 142 166 220 284 332 355 415 440 568 664 710 781 830 913 1420 1562 1660 1826 2840 3124 3320 3652 3905 4565 5431 5893 6248 7304 7810 9130 10862 11786 15620 18260 21724 23572 27155 29465 31240 36520 43448 47144 54310 58930 59741 64823 108620 117860 119482 129646 217240 235720 238964 259292 298705 324115 385601 450773 477928 518584 597410 648230 771202 901546 1194820 1296460 1542404 1803092 1928005 2253865 2389640 2592920 3084808 3606184 3856010 4241611 4507730 4958503 7712020 8483222 9015460 9917006 15424040 16966444 18030920 19834012 21208055 24792515 32004883 33932888 39668024 42416110 49585030 64009766 84832220 99170060 128019532 160024415 169664440 198340120 256039064 320048830 352053713 640097660 704107426 1280195320 1408214852 1760268565 2816429704 3520537130 7041074260 14082148520